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Finding the Fourth Proportional to 9,085.68, 12,536 and 5,547.60

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Solution

The fourth proportional to 9,085.68, 12,536 and 5,547.60 is: 7,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.68 : 12,536 = 5,547.60 : x
  2. Step 2: Convert to fraction form
    9,085.68/12,536 = 5,547.60/x
  3. Step 3: Cross multiply
    9,085.68x = 12,536 × 5,547.60
  4. Step 4: Simplify right side
    9,085.68x = 69,544,713.60
  5. Step 5: Solve for x
    x = 69,544,713.60/9,085.68
  6. Step 6: Final answer
    x = 7,654.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.